38978400 has 144 divisors (see below), whose sum is σ = 128898000. Its totient is φ = 10229760.

The previous prime is 38978341. The next prime is 38978411. The reversal of 38978400 is 487983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261526 + ... + 261674.

It is an arithmetic number, because the mean of its divisors is an integer number (895125).

Almost surely, 2^38978400 is an apocalyptic number.

38978400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64449000).

38978400 is an abundant number, since it is smaller than the sum of its proper divisors (89919600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38978400 is a wasteful number, since it uses less digits than its factorization.

38978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38978400 is about 6243.2683748178. The cubic root of 38978400 is about 339.0585257592.

The spelling of 38978400 in words is "thirty-eight million, nine hundred seventy-eight thousand, four hundred".